1294072126464 has 352 divisors, whose sum is σ = 4059931631616. Its totient is φ = 362659184640.

The previous prime is 1294072126441. The next prime is 1294072126483. The reversal of 1294072126464 is 4646212704921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21015529 + ... + 21077015.

Almost surely, 2^{1294072126464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294072126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029965815808).

1294072126464 is an abundant number, since it is smaller than the sum of its proper divisors (2765859505152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1294072126464 is a wasteful number, since it uses less digits than its factorization.

1294072126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61571 (or 61553 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1294072126464 in words is "one trillion, two hundred ninety-four billion, seventy-two million, one hundred twenty-six thousand, four hundred sixty-four".